
A polytope (or convex polyhedron) is defined as the intersection of a finite number of half-spaces (as in e.g. [1]})
\(P_{o}=\lbrace x \in \mathbb {R}^{n} : \ x \cdot A \le b, \ A \in \mathbb {R}^{n \times m}, \ b \in \mathbb {R}^{m}\rbrace ,\) 
